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Simplifying 3a + 14 = 42 + -1a Reorder the terms: 14 + 3a = 42 + -1a Solving 14 + 3a = 42 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 14 + 3a + a = 42 + -1a + a Combine like terms: 3a + a = 4a 14 + 4a = 42 + -1a + a Combine like terms: -1a + a = 0 14 + 4a = 42 + 0 14 + 4a = 42 Add '-14' to each side of the equation. 14 + -14 + 4a = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 4a = 42 + -14 4a = 42 + -14 Combine like terms: 42 + -14 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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